4x+9y=22;x=46-9y

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for example:
2x+y=8
x+3y=14

Solution for 4x+9y=22;x=46-9y system of equations: 


  • /| 4*x+9*y-22 = 0| x+9*y-46 = 0
  • We try to solve the equation: 4*x+9*y-22 = 0
  • 4*x+9*y-22 = 0 // - 4*x-22
  • 9*y = -(4*x-22) // : 9
  • y = (-(4*x-22))/9
  • y = (22-(4*x))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*((22-(4*x))/9)+x-46 = 0| y = (22-(4*x))/9
  • (9*(22-4*x))/9+x-46 = 0
  • 22-3*x-46 = 0
  • -3*x-24 = 0
  • -3*x-24 = 0 // + 24
  • -3*x = 24 // : -3
  • x = 24/(-3)
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (22-(4*x))/9: 
  • y = (22-(-8*4))/9
  • y = (22+32)/9
  • y = 54/9
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -8

 

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